Skip to main content

Timeline for Curvature and Parallel Transport

Current License: CC BY-SA 2.5

18 events
when toggle format what by license comment
Apr 26, 2015 at 15:15 answer added Alan U. Kennington timeline score: 2
Mar 4, 2010 at 22:15 history edited Paul Siegel CC BY-SA 2.5
deleted 37 characters in body
Mar 4, 2010 at 22:04 vote accept Paul Siegel
Mar 4, 2010 at 21:56 history edited Paul Siegel CC BY-SA 2.5
Fixed the statement by imposing a normalizing assumption on X and Y
Mar 4, 2010 at 19:51 history edited Harry Gindi
tag
Mar 4, 2010 at 15:41 answer added Deane Yang timeline score: 22
Mar 4, 2010 at 13:20 answer added Willie Wong timeline score: 1
Mar 4, 2010 at 2:22 answer added Igor Belegradek timeline score: 2
Mar 4, 2010 at 1:25 comment added Paul Siegel Done. I'm glad others are interested! Also, thanks everyone for helping me clarify the statement and figure out how to use this website!
Mar 4, 2010 at 1:16 history edited Paul Siegel CC BY-SA 2.5
added 448 characters in body
Mar 4, 2010 at 0:09 comment added Ilya Grigoriev (Also, thanks for asking this - I'd be very interested in an answer)
Mar 4, 2010 at 0:02 comment added Ilya Grigoriev @Paul: Please edit this question to include any improvements from here: mathoverflow.net/questions/17004/…
Mar 3, 2010 at 23:54 answer added valeri timeline score: 1
Mar 2, 2010 at 20:04 history edited José Figueroa-O'Farrill CC BY-SA 2.5
added 4 characters in body
Mar 2, 2010 at 14:02 comment added Deane Yang And, in addition to Harald's question which I was about to ask too, shouldn't the definition of \gamma be linked to the vectors X, Y, Z somehow? In my experience formulas like this can always be derived using Jacobi fields and, in particular, using an appropriately defined $1$-parameters family of constant speed geodesic segments, $\Gamma: [0,1] \times [0,1] \rightarrow M$. Here, you probably want $\Gamma(\cdot, t)$ to be a constant geodesic for each $t$, $\Gamma(0,\cdot) = p$, and $\Gamma(1,\cdot) = \gamma$.
Mar 2, 2010 at 13:49 comment added Harald Hanche-Olsen Should the lefthand side be $R(X,Y)Z$? If not, what is $Z$?
Mar 2, 2010 at 12:06 history edited José Figueroa-O'Farrill CC BY-SA 2.5
edited body
Mar 2, 2010 at 11:59 history asked Paul Siegel CC BY-SA 2.5